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Weak Nonlinear Analysis of Moderate Stefan Number Oscillatory Convection in Rotating Mushy Layers

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Abstract

We consider the solidification of a binary alloy in a mushy layer subject to Coriolis effects. A near-eutectic approximation and large far-field temperature is employed in order to study the dynamics of the mushy layer with a Stefan number of unit order of magnitude. The weak nonlinear theory is used to investigate analytically the Coriolis effect in a rotating mushy layer for a new moderate time scale proposed by the author. It is found that increasing the Taylor number favoured the forward bifurcation.

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Natal, King George IV Avenue, Durban, 4001, South Africa

    Saneshan Govender & Peter Vadasz

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  1. Saneshan Govender
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  2. Peter Vadasz
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Govender, S., Vadasz, P. Weak Nonlinear Analysis of Moderate Stefan Number Oscillatory Convection in Rotating Mushy Layers. Transport in Porous Media 48, 353–372 (2002). https://doi.org/10.1023/A:1015755420045

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